Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.n (of order \(15\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{16} - x^{14} - 15x^{12} + 116x^{10} + 69x^{8} - 814x^{6} + 2420x^{4} - 7986x^{2} + 14641 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 190.2 | ||
Root | \(1.96317 + 0.874061i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 891.190 |
Dual form | 891.2.n.e.136.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.96317 | + | 0.874061i | 1.38817 | + | 0.618055i | 0.958542 | − | 0.284950i | \(-0.0919770\pi\) |
0.429631 | + | 0.903005i | \(0.358644\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.75181 | + | 1.94558i | 0.875903 | + | 0.972789i | ||||
\(5\) | −1.96317 | + | 0.874061i | −0.877958 | + | 0.390892i | −0.795680 | − | 0.605717i | \(-0.792886\pi\) |
−0.0822781 | + | 0.996609i | \(0.526220\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.14350 | − | 0.880728i | 1.56610 | − | 0.332884i | 0.658451 | − | 0.752623i | \(-0.271212\pi\) |
0.907645 | + | 0.419740i | \(0.137879\pi\) | |||||||
\(8\) | 0.410415 | + | 1.26313i | 0.145104 | + | 0.446583i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.61803 | −1.46035 | ||||||||
\(11\) | 2.28779 | + | 2.40125i | 0.689794 | + | 0.724005i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0246758 | − | 0.234775i | −0.00684384 | − | 0.0651148i | 0.990567 | − | 0.137030i | \(-0.0437556\pi\) |
−0.997411 | + | 0.0719150i | \(0.977089\pi\) | |||||||
\(14\) | 8.90422 | + | 1.89265i | 2.37975 | + | 0.505832i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.248983 | − | 2.36892i | 0.0622458 | − | 0.592229i | ||||
\(17\) | 4.96199 | + | 3.60510i | 1.20346 | + | 0.874364i | 0.994620 | − | 0.103586i | \(-0.0330318\pi\) |
0.208838 | + | 0.977950i | \(0.433032\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.736068 | − | 2.26538i | −0.168866 | − | 0.519715i | 0.830435 | − | 0.557116i | \(-0.188092\pi\) |
−0.999300 | + | 0.0374011i | \(0.988092\pi\) | |||||||
\(20\) | −5.13966 | − | 2.28832i | −1.14926 | − | 0.511684i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.39248 | + | 6.71375i | 0.510079 | + | 1.43138i | ||||
\(23\) | −1.99220 | + | 3.45059i | −0.415402 | + | 0.719497i | −0.995471 | − | 0.0950706i | \(-0.969692\pi\) |
0.580069 | + | 0.814567i | \(0.303026\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.255585 | + | 0.283856i | −0.0511170 | + | 0.0567712i | ||||
\(26\) | 0.156765 | − | 0.482472i | 0.0307441 | − | 0.0946205i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.97214 | + | 6.51864i | 1.69557 | + | 1.23191i | ||||
\(29\) | −6.80222 | + | 1.44586i | −1.26314 | + | 0.268489i | −0.790333 | − | 0.612677i | \(-0.790093\pi\) |
−0.472807 | + | 0.881166i | \(0.656759\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.482716 | + | 4.59274i | 0.0866984 | + | 0.824880i | 0.948317 | + | 0.317324i | \(0.102784\pi\) |
−0.861619 | + | 0.507556i | \(0.830549\pi\) | |||||||
\(32\) | 3.88751 | − | 6.73336i | 0.687221 | − | 1.19030i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.59017 | + | 11.4145i | 1.13020 | + | 1.95757i | ||||
\(35\) | −7.36460 | + | 5.35069i | −1.24484 | + | 0.904432i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.545085 | − | 1.67760i | 0.0896114 | − | 0.275796i | −0.896201 | − | 0.443649i | \(-0.853684\pi\) |
0.985812 | + | 0.167854i | \(0.0536836\pi\) | |||||||
\(38\) | 0.535055 | − | 5.09071i | 0.0867974 | − | 0.825822i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.90977 | − | 2.12101i | −0.301961 | − | 0.335361i | ||||
\(41\) | 2.90489 | + | 0.617454i | 0.453668 | + | 0.0964302i | 0.429078 | − | 0.903267i | \(-0.358839\pi\) |
0.0245903 | + | 0.999698i | \(0.492172\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.35410 | − | 2.34537i | −0.206499 | − | 0.357666i | 0.744111 | − | 0.668056i | \(-0.232874\pi\) |
−0.950609 | + | 0.310390i | \(0.899540\pi\) | |||||||
\(44\) | −0.664066 | + | 8.65761i | −0.100112 | + | 1.30518i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.92705 | + | 5.03280i | −1.02134 | + | 0.742045i | ||||
\(47\) | 2.32663 | − | 2.58398i | 0.339374 | − | 0.376913i | −0.549165 | − | 0.835714i | \(-0.685054\pi\) |
0.888539 | + | 0.458801i | \(0.151721\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.99809 | − | 4.45144i | 1.42830 | − | 0.635919i | ||||
\(50\) | −0.749866 | + | 0.333862i | −0.106047 | + | 0.0472152i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.413545 | − | 0.459289i | 0.0573484 | − | 0.0636919i | ||||
\(53\) | 1.48490 | − | 1.07884i | 0.203966 | − | 0.148190i | −0.481113 | − | 0.876658i | \(-0.659767\pi\) |
0.685079 | + | 0.728468i | \(0.259767\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.59017 | − | 2.71441i | −0.888618 | − | 0.366011i | ||||
\(56\) | 2.81303 | + | 4.87231i | 0.375906 | + | 0.651089i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −14.6177 | − | 3.10709i | −1.91940 | − | 0.407981i | ||||
\(59\) | −4.99271 | − | 5.54496i | −0.649995 | − | 0.721893i | 0.324604 | − | 0.945850i | \(-0.394769\pi\) |
−0.974599 | + | 0.223957i | \(0.928102\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.18391 | − | 11.2642i | 0.151585 | − | 1.44223i | −0.609091 | − | 0.793100i | \(-0.708466\pi\) |
0.760676 | − | 0.649132i | \(-0.224868\pi\) | |||||||
\(62\) | −3.06668 | + | 9.43826i | −0.389468 | + | 1.19866i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 9.66312 | − | 7.02067i | 1.20789 | − | 0.877583i | ||||
\(65\) | 0.253650 | + | 0.439335i | 0.0314615 | + | 0.0544929i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.42705 | − | 2.47172i | 0.174342 | − | 0.301969i | −0.765591 | − | 0.643327i | \(-0.777553\pi\) |
0.939933 | + | 0.341358i | \(0.110887\pi\) | |||||||
\(68\) | 1.67845 | + | 15.9694i | 0.203542 | + | 1.93657i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −19.1348 | + | 4.06723i | −2.28705 | + | 0.486127i | ||||
\(71\) | −8.69273 | − | 6.31564i | −1.03164 | − | 0.749528i | −0.0630016 | − | 0.998013i | \(-0.520067\pi\) |
−0.968636 | + | 0.248485i | \(0.920067\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.763932 | − | 2.35114i | 0.0894115 | − | 0.275180i | −0.896346 | − | 0.443356i | \(-0.853788\pi\) |
0.985757 | + | 0.168176i | \(0.0537877\pi\) | |||||||
\(74\) | 2.53642 | − | 2.81698i | 0.294853 | − | 0.327467i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.11803 | − | 5.40059i | 0.357663 | − | 0.619491i | ||||
\(77\) | 11.5943 | + | 7.93468i | 1.32129 | + | 0.904240i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.65323 | − | 3.85266i | −0.973564 | − | 0.433459i | −0.142597 | − | 0.989781i | \(-0.545545\pi\) |
−0.830967 | + | 0.556322i | \(0.812212\pi\) | |||||||
\(80\) | 1.58178 | + | 4.86822i | 0.176849 | + | 0.544284i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.16312 | + | 3.75123i | 0.570171 | + | 0.414254i | ||||
\(83\) | −0.865738 | + | 8.23694i | −0.0950271 | + | 0.904122i | 0.838328 | + | 0.545167i | \(0.183534\pi\) |
−0.933355 | + | 0.358955i | \(0.883133\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.8923 | − | 2.74035i | −1.39837 | − | 0.297232i | ||||
\(86\) | −0.608337 | − | 5.78794i | −0.0655987 | − | 0.624130i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.09415 | + | 3.87528i | −0.223237 | + | 0.413106i | ||||
\(89\) | 8.90937 | 0.944392 | 0.472196 | − | 0.881494i | \(-0.343462\pi\) | ||||
0.472196 | + | 0.881494i | \(0.343462\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.309017 | − | 0.951057i | −0.0323938 | − | 0.0996978i | ||||
\(92\) | −10.2033 | + | 2.16878i | −1.06377 | + | 0.226111i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.82614 | − | 3.03919i | 0.704062 | − | 0.313469i | ||||
\(95\) | 3.42511 | + | 3.80397i | 0.351409 | + | 0.390280i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.7784 | + | 4.79883i | 1.09438 | + | 0.487247i | 0.872890 | − | 0.487916i | \(-0.162243\pi\) |
0.221485 | + | 0.975164i | \(0.428910\pi\) | |||||||
\(98\) | 23.5188 | 2.37576 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.00000 | −0.100000 | ||||||||
\(101\) | −0.286423 | − | 0.127524i | −0.0285002 | − | 0.0126891i | 0.392437 | − | 0.919779i | \(-0.371632\pi\) |
−0.420937 | + | 0.907090i | \(0.638299\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.32315 | − | 8.13318i | −0.721571 | − | 0.801386i | 0.265081 | − | 0.964226i | \(-0.414601\pi\) |
−0.986652 | + | 0.162840i | \(0.947935\pi\) | |||||||
\(104\) | 0.286423 | − | 0.127524i | 0.0280861 | − | 0.0125047i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.85808 | − | 0.820060i | 0.374730 | − | 0.0796513i | ||||
\(107\) | −3.38021 | − | 10.4032i | −0.326777 | − | 1.00572i | −0.970632 | − | 0.240569i | \(-0.922666\pi\) |
0.643855 | − | 0.765147i | \(-0.277334\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.7082 | −1.31301 | −0.656504 | − | 0.754323i | \(-0.727965\pi\) | ||||
−0.656504 | + | 0.754323i | \(0.727965\pi\) | |||||||
\(110\) | −10.5651 | − | 11.0891i | −1.00734 | − | 1.05730i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.05471 | − | 10.0349i | −0.0996607 | − | 0.948208i | ||||
\(113\) | −17.5018 | − | 3.72011i | −1.64643 | − | 0.349959i | −0.710922 | − | 0.703271i | \(-0.751722\pi\) |
−0.935505 | + | 0.353312i | \(0.885055\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.895005 | − | 8.51540i | 0.0834596 | − | 0.794065i | ||||
\(116\) | −14.7292 | − | 10.7014i | −1.36757 | − | 0.993599i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.95492 | − | 15.2497i | −0.456137 | − | 1.40385i | ||||
\(119\) | 23.7351 | + | 10.5675i | 2.17579 | + | 0.968726i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.532046 | + | 10.9871i | −0.0483678 | + | 0.998830i | ||||
\(122\) | 12.1698 | − | 21.0788i | 1.10180 | − | 1.90838i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −8.08990 | + | 8.98475i | −0.726495 | + | 0.806854i | ||||
\(125\) | 3.57398 | − | 10.9996i | 0.319666 | − | 0.983832i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.23607 | + | 1.62460i | 0.198419 | + | 0.144160i | 0.682558 | − | 0.730831i | \(-0.260867\pi\) |
−0.484139 | + | 0.874991i | \(0.660867\pi\) | |||||||
\(128\) | 9.89665 | − | 2.10360i | 0.874749 | − | 0.185934i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.113954 | + | 1.08420i | 0.00999441 | + | 0.0950904i | ||||
\(131\) | −1.23125 | + | 2.13258i | −0.107574 | + | 0.186324i | −0.914787 | − | 0.403936i | \(-0.867642\pi\) |
0.807213 | + | 0.590261i | \(0.200975\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.04508 | − | 8.73834i | −0.437464 | − | 0.757710i | ||||
\(134\) | 4.96199 | − | 3.60510i | 0.428650 | − | 0.311433i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.51722 | + | 7.74721i | −0.215850 | + | 0.664318i | ||||
\(137\) | −0.0327727 | + | 0.311812i | −0.00279996 | + | 0.0266399i | −0.995833 | − | 0.0911992i | \(-0.970930\pi\) |
0.993033 | + | 0.117839i | \(0.0375967\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.61602 | − | 8.45845i | −0.645983 | − | 0.717436i | 0.327843 | − | 0.944732i | \(-0.393678\pi\) |
−0.973826 | + | 0.227296i | \(0.927012\pi\) | |||||||
\(140\) | −23.3116 | − | 4.95502i | −1.97019 | − | 0.418776i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.5451 | − | 19.9967i | −0.968842 | − | 1.67808i | ||||
\(143\) | 0.507301 | − | 0.596368i | 0.0424226 | − | 0.0498708i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.0902 | − | 8.78402i | 1.00403 | − | 0.729473i | ||||
\(146\) | 3.55477 | − | 3.94797i | 0.294195 | − | 0.326737i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.21878 | − | 1.87832i | 0.346782 | − | 0.154397i | ||||
\(149\) | −4.21277 | + | 1.87565i | −0.345124 | + | 0.153659i | −0.571976 | − | 0.820270i | \(-0.693823\pi\) |
0.226853 | + | 0.973929i | \(0.427156\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.85666 | + | 9.83632i | −0.720745 | + | 0.800468i | −0.986533 | − | 0.163563i | \(-0.947701\pi\) |
0.265788 | + | 0.964031i | \(0.414368\pi\) | |||||||
\(152\) | 2.55938 | − | 1.85950i | 0.207593 | − | 0.150825i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.8262 | + | 25.7113i | 1.27531 | + | 2.07187i | ||||
\(155\) | −4.96199 | − | 8.59441i | −0.398556 | − | 0.690320i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.2012 | + | 4.29389i | 1.61223 | + | 0.342690i | 0.923878 | − | 0.382688i | \(-0.125002\pi\) |
0.688351 | + | 0.725378i | \(0.258335\pi\) | |||||||
\(158\) | −13.6203 | − | 15.1269i | −1.08357 | − | 1.20343i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.74648 | + | 16.6167i | −0.138072 | + | 1.31366i | ||||
\(161\) | −5.21564 | + | 16.0521i | −0.411050 | + | 1.26508i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.11803 | + | 0.812299i | −0.0875712 | + | 0.0636242i | −0.630709 | − | 0.776019i | \(-0.717236\pi\) |
0.543138 | + | 0.839643i | \(0.317236\pi\) | |||||||
\(164\) | 3.88751 | + | 6.73336i | 0.303563 | + | 0.525787i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.89919 | + | 15.4138i | −0.690711 | + | 1.19635i | ||||
\(167\) | 1.12314 | + | 10.6859i | 0.0869110 | + | 0.826903i | 0.947962 | + | 0.318384i | \(0.103140\pi\) |
−0.861051 | + | 0.508519i | \(0.830193\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.6614 | − | 2.69127i | 0.973955 | − | 0.207020i | ||||
\(170\) | −22.9146 | − | 16.6485i | −1.75747 | − | 1.27688i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.19098 | − | 6.74315i | 0.167061 | − | 0.514161i | ||||
\(173\) | −8.96706 | + | 9.95893i | −0.681753 | + | 0.757164i | −0.980361 | − | 0.197212i | \(-0.936811\pi\) |
0.298608 | + | 0.954376i | \(0.403478\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.809017 | + | 1.40126i | −0.0611559 | + | 0.105925i | ||||
\(176\) | 6.25799 | − | 4.82171i | 0.471714 | − | 0.363450i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 17.4906 | + | 7.78734i | 1.31098 | + | 0.583686i | ||||
\(179\) | 0.604187 | + | 1.85950i | 0.0451590 | + | 0.138985i | 0.971094 | − | 0.238698i | \(-0.0767207\pi\) |
−0.925935 | + | 0.377684i | \(0.876721\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.89919 | − | 7.19218i | −0.735801 | − | 0.534591i | 0.155592 | − | 0.987821i | \(-0.450271\pi\) |
−0.891393 | + | 0.453231i | \(0.850271\pi\) | |||||||
\(182\) | 0.224628 | − | 2.13719i | 0.0166505 | − | 0.158419i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.17616 | − | 1.10023i | −0.381591 | − | 0.0811098i | ||||
\(185\) | 0.396228 | + | 3.76986i | 0.0291312 | + | 0.277165i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.69523 | + | 20.1627i | 0.197095 | + | 1.47444i | ||||
\(188\) | 9.10315 | 0.663915 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.39919 | + | 10.4616i | 0.246603 | + | 0.758966i | ||||
\(191\) | 9.70711 | − | 2.06331i | 0.702382 | − | 0.149296i | 0.157142 | − | 0.987576i | \(-0.449772\pi\) |
0.545240 | + | 0.838280i | \(0.316439\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.74376 | − | 3.00252i | 0.485427 | − | 0.216126i | −0.149405 | − | 0.988776i | \(-0.547736\pi\) |
0.634832 | + | 0.772650i | \(0.281069\pi\) | |||||||
\(194\) | 16.9653 | + | 18.8419i | 1.21804 | + | 1.35277i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 26.1753 | + | 11.6540i | 1.86967 | + | 0.832429i | ||||
\(197\) | −2.46249 | −0.175445 | −0.0877226 | − | 0.996145i | \(-0.527959\pi\) | ||||
−0.0877226 | + | 0.996145i | \(0.527959\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.416408 | 0.0295184 | 0.0147592 | − | 0.999891i | \(-0.495302\pi\) | ||||
0.0147592 | + | 0.999891i | \(0.495302\pi\) | |||||||
\(200\) | −0.463442 | − | 0.206338i | −0.0327703 | − | 0.0145903i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.450835 | − | 0.500703i | −0.0317206 | − | 0.0352293i | ||||
\(203\) | −26.9116 | + | 11.9818i | −1.88882 | + | 0.840958i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.24250 | + | 1.32689i | −0.435995 | + | 0.0926737i | ||||
\(206\) | −7.26771 | − | 22.3677i | −0.506366 | − | 1.55843i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.562306 | −0.0389889 | ||||||||
\(209\) | 3.75580 | − | 6.95021i | 0.259794 | − | 0.480756i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.88511 | + | 17.9356i | 0.129776 | + | 1.23474i | 0.844585 | + | 0.535421i | \(0.179847\pi\) |
−0.714809 | + | 0.699320i | \(0.753486\pi\) | |||||||
\(212\) | 4.70022 | + | 0.999062i | 0.322812 | + | 0.0686159i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.45711 | − | 23.3778i | 0.167964 | − | 1.59807i | ||||
\(215\) | 4.70834 | + | 3.42081i | 0.321106 | + | 0.233297i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.04508 | + | 18.6049i | 0.410367 | + | 1.26298i | ||||
\(218\) | −26.9116 | − | 11.9818i | −1.82268 | − | 0.811511i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.26360 | − | 17.5768i | −0.422292 | − | 1.18503i | ||||
\(221\) | 0.723944 | − | 1.25391i | 0.0486978 | − | 0.0843470i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.12806 | − | 2.36345i | 0.142506 | − | 0.158269i | −0.667667 | − | 0.744460i | \(-0.732707\pi\) |
0.810172 | + | 0.586192i | \(0.199374\pi\) | |||||||
\(224\) | 10.1776 | − | 31.3235i | 0.680021 | − | 2.09289i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −31.1074 | − | 22.6008i | −2.06923 | − | 1.50339i | ||||
\(227\) | −10.6995 | + | 2.27426i | −0.710154 | + | 0.150948i | −0.548806 | − | 0.835950i | \(-0.684917\pi\) |
−0.161348 | + | 0.986898i | \(0.551584\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.93086 | + | 18.3709i | 0.127595 | + | 1.21399i | 0.851600 | + | 0.524192i | \(0.175632\pi\) |
−0.724005 | + | 0.689794i | \(0.757701\pi\) | |||||||
\(230\) | 9.20003 | − | 15.9349i | 0.606632 | − | 1.05072i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.61803 | − | 7.99867i | −0.303189 | − | 0.525138i | ||||
\(233\) | −18.6167 | + | 13.5258i | −1.21962 | + | 0.886106i | −0.996069 | − | 0.0885854i | \(-0.971765\pi\) |
−0.223552 | + | 0.974692i | \(0.571765\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.30902 | + | 7.10642i | −0.150624 | + | 0.463572i | ||||
\(236\) | 2.04190 | − | 19.4274i | 0.132917 | − | 1.26462i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 37.3594 | + | 41.4919i | 2.42165 | + | 2.68952i | ||||
\(239\) | −11.1958 | − | 2.37973i | −0.724193 | − | 0.153932i | −0.168956 | − | 0.985624i | \(-0.554039\pi\) |
−0.555238 | + | 0.831692i | \(0.687373\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.00000 | − | 12.1244i | −0.450910 | − | 0.780998i | 0.547533 | − | 0.836784i | \(-0.315567\pi\) |
−0.998443 | + | 0.0557856i | \(0.982234\pi\) | |||||||
\(242\) | −10.6479 | + | 21.1046i | −0.684474 | + | 1.35665i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 23.9894 | − | 17.4293i | 1.53576 | − | 1.11580i | ||||
\(245\) | −15.7372 | + | 17.4779i | −1.00541 | + | 1.11662i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.513692 | + | 0.228710i | −0.0326854 | + | 0.0145525i | ||||
\(248\) | −5.60310 | + | 2.49466i | −0.355797 | + | 0.158411i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 16.6306 | − | 18.4702i | 1.05181 | − | 1.16816i | ||||
\(251\) | 18.3631 | − | 13.3415i | 1.15907 | − | 0.842111i | 0.169406 | − | 0.985546i | \(-0.445815\pi\) |
0.989660 | + | 0.143436i | \(0.0458150\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.8435 | + | 3.11044i | −0.807461 | + | 0.195552i | ||||
\(254\) | 2.96979 | + | 5.14383i | 0.186341 | + | 0.322753i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.09901 | − | 0.446157i | −0.131188 | − | 0.0278848i | ||||
\(257\) | −8.28816 | − | 9.20494i | −0.517001 | − | 0.574188i | 0.426949 | − | 0.904276i | \(-0.359588\pi\) |
−0.943950 | + | 0.330087i | \(0.892922\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.781051 | − | 7.43120i | 0.0485321 | − | 0.461752i | ||||
\(260\) | −0.410415 | + | 1.26313i | −0.0254529 | + | 0.0783359i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.28115 | + | 3.11044i | −0.264491 | + | 0.192164i | ||||
\(263\) | 3.22344 | + | 5.58316i | 0.198766 | + | 0.344273i | 0.948129 | − | 0.317887i | \(-0.102973\pi\) |
−0.749363 | + | 0.662160i | \(0.769640\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.97214 | + | 3.41584i | −0.121147 | + | 0.209833i | ||||
\(266\) | −2.26653 | − | 21.5646i | −0.138970 | − | 1.32221i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.30885 | − | 1.55354i | 0.446459 | − | 0.0948978i | ||||
\(269\) | −16.3709 | − | 11.8941i | −0.998149 | − | 0.725198i | −0.0364584 | − | 0.999335i | \(-0.511608\pi\) |
−0.961690 | + | 0.274138i | \(0.911608\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.298374 | + | 0.918300i | −0.0181249 | + | 0.0557828i | −0.959710 | − | 0.280993i | \(-0.909336\pi\) |
0.941585 | + | 0.336775i | \(0.109336\pi\) | |||||||
\(272\) | 9.77562 | − | 10.8569i | 0.592734 | − | 0.658298i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.336881 | + | 0.583495i | −0.0203517 | + | 0.0352502i | ||||
\(275\) | −1.26634 | + | 0.0356777i | −0.0763629 | + | 0.00215145i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.7063 | + | 7.88336i | 1.06387 | + | 0.473665i | 0.862608 | − | 0.505873i | \(-0.168829\pi\) |
0.201261 | + | 0.979538i | \(0.435496\pi\) | |||||||
\(278\) | −7.55837 | − | 23.2623i | −0.453321 | − | 1.39518i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −9.78115 | − | 7.10642i | −0.584536 | − | 0.424690i | ||||
\(281\) | 1.73148 | − | 16.4739i | 0.103291 | − | 0.982750i | −0.813007 | − | 0.582254i | \(-0.802171\pi\) |
0.916298 | − | 0.400496i | \(-0.131162\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.7051 | + | 2.27544i | 0.636353 | + | 0.135261i | 0.514781 | − | 0.857322i | \(-0.327873\pi\) |
0.121572 | + | 0.992583i | \(0.461207\pi\) | |||||||
\(284\) | −2.94041 | − | 27.9762i | −0.174481 | − | 1.66008i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.51718 | − | 0.727362i | 0.0897128 | − | 0.0430098i | ||||
\(287\) | 12.5802 | 0.742588 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.37132 | + | 19.6089i | 0.374784 | + | 1.15347i | ||||
\(290\) | 31.4129 | − | 6.67701i | 1.84463 | − | 0.392088i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.91259 | − | 2.63245i | 0.346008 | − | 0.154053i | ||||
\(293\) | −3.34498 | − | 3.71498i | −0.195416 | − | 0.217031i | 0.637471 | − | 0.770474i | \(-0.279980\pi\) |
−0.832887 | + | 0.553443i | \(0.813314\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.6482 | + | 6.52180i | 0.852851 | + | 0.379714i | ||||
\(296\) | 2.34273 | 0.136169 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.90983 | −0.574061 | ||||||||
\(299\) | 0.859270 | + | 0.382571i | 0.0496928 | + | 0.0221247i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.67636 | − | 8.52546i | −0.442458 | − | 0.491399i | ||||
\(302\) | −25.9847 | + | 11.5691i | −1.49525 | + | 0.665729i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.54978 | + | 1.17964i | −0.318302 | + | 0.0676571i | ||||
\(305\) | 7.52136 | + | 23.1484i | 0.430672 | + | 1.32547i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.2705 | 0.985680 | 0.492840 | − | 0.870120i | \(-0.335959\pi\) | ||||
0.492840 | + | 0.870120i | \(0.335959\pi\) | |||||||
\(308\) | 4.87344 | + | 36.4576i | 0.277690 | + | 2.07737i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.22920 | − | 21.2094i | −0.126610 | − | 1.20461i | ||||
\(311\) | 28.1289 | + | 5.97898i | 1.59504 | + | 0.339037i | 0.917900 | − | 0.396813i | \(-0.129884\pi\) |
0.677145 | + | 0.735850i | \(0.263217\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.30858 | + | 31.4791i | −0.187012 | + | 1.77930i | 0.351010 | + | 0.936372i | \(0.385838\pi\) |
−0.538022 | + | 0.842931i | \(0.680828\pi\) | |||||||
\(314\) | 35.9053 | + | 26.0867i | 2.02625 | + | 1.47216i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.66312 | − | 23.5847i | −0.431084 | − | 1.32674i | ||||
\(317\) | −0.286423 | − | 0.127524i | −0.0160871 | − | 0.00716245i | 0.398677 | − | 0.917091i | \(-0.369469\pi\) |
−0.414764 | + | 0.909929i | \(0.636136\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −19.0339 | − | 13.0260i | −1.06569 | − | 0.729318i | ||||
\(320\) | −12.8339 | + | 22.2289i | −0.717436 | + | 1.24264i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −24.2697 | + | 26.9542i | −1.35250 | + | 1.50210i | ||||
\(323\) | 4.51457 | − | 13.8944i | 0.251197 | − | 0.773105i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0729490 | + | 0.0530006i | 0.00404648 | + | 0.00293994i | ||||
\(326\) | −2.90489 | + | 0.617454i | −0.160887 | + | 0.0341976i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.412289 | + | 3.92266i | 0.0227648 | + | 0.216593i | ||||
\(329\) | 7.36460 | − | 12.7559i | 0.406024 | − | 0.703253i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.64590 | − | 6.31488i | −0.200397 | − | 0.347097i | 0.748260 | − | 0.663406i | \(-0.230890\pi\) |
−0.948656 | + | 0.316309i | \(0.897556\pi\) | |||||||
\(332\) | −17.5422 | + | 12.7452i | −0.962755 | + | 0.699482i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.13525 | + | 21.9601i | −0.390424 | + | 1.20160i | ||||
\(335\) | −0.641110 | + | 6.09976i | −0.0350276 | + | 0.333265i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.8340 | − | 19.8066i | −0.971479 | − | 1.07894i | −0.996854 | − | 0.0792589i | \(-0.974745\pi\) |
0.0253749 | − | 0.999678i | \(-0.491922\pi\) | |||||||
\(338\) | 27.2089 | + | 5.78342i | 1.47997 | + | 0.314577i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −17.2533 | − | 29.8836i | −0.935691 | − | 1.62066i | ||||
\(341\) | −9.92398 | + | 11.6663i | −0.537413 | + | 0.631767i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.5172 | − | 9.82084i | 0.729861 | − | 0.530275i | ||||
\(344\) | 2.40676 | − | 2.67298i | 0.129764 | − | 0.144117i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −26.3086 | + | 11.7134i | −1.41436 | + | 0.629714i | ||||
\(347\) | 22.9852 | − | 10.2337i | 1.23391 | − | 0.549373i | 0.316986 | − | 0.948430i | \(-0.397329\pi\) |
0.916926 | + | 0.399057i | \(0.130662\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.14285 | − | 6.82232i | 0.328819 | − | 0.365191i | −0.555954 | − | 0.831213i | \(-0.687647\pi\) |
0.884773 | + | 0.466023i | \(0.154314\pi\) | |||||||
\(350\) | −2.81303 | + | 2.04378i | −0.150363 | + | 0.109245i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 25.0623 | − | 6.06961i | 1.33583 | − | 0.323511i | ||||
\(353\) | 16.8782 | + | 29.2338i | 0.898334 | + | 1.55596i | 0.829624 | + | 0.558323i | \(0.188555\pi\) |
0.0687102 | + | 0.997637i | \(0.478112\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 22.5856 | + | 4.80072i | 1.19872 | + | 0.254796i | ||||
\(356\) | 15.6075 | + | 17.3339i | 0.827196 | + | 0.918694i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.439190 | + | 4.17861i | −0.0232119 | + | 0.220846i | ||||
\(359\) | 0.627058 | − | 1.92989i | 0.0330949 | − | 0.101856i | −0.933145 | − | 0.359501i | \(-0.882947\pi\) |
0.966239 | + | 0.257646i | \(0.0829468\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.7812 | − | 7.83297i | 0.567429 | − | 0.412261i | ||||
\(362\) | −13.1474 | − | 22.7720i | −0.691013 | − | 1.19687i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.30902 | − | 2.26728i | 0.0686111 | − | 0.118838i | ||||
\(365\) | 0.555310 | + | 5.28342i | 0.0290663 | + | 0.276547i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −22.5311 | + | 4.78913i | −1.17611 | + | 0.249991i | −0.754199 | − | 0.656645i | \(-0.771975\pi\) |
−0.421914 | + | 0.906636i | \(0.638641\pi\) | |||||||
\(368\) | 7.67813 | + | 5.57849i | 0.400250 | + | 0.290799i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.51722 | + | 7.74721i | −0.130864 | + | 0.402758i | ||||
\(371\) | 5.20250 | − | 5.77796i | 0.270100 | − | 0.299977i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.20820 | − | 12.4850i | 0.373227 | − | 0.646448i | −0.616833 | − | 0.787094i | \(-0.711585\pi\) |
0.990060 | + | 0.140646i | \(0.0449180\pi\) | |||||||
\(374\) | −12.3322 | + | 41.9387i | −0.637684 | + | 2.16860i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.21878 | + | 1.87832i | 0.217567 | + | 0.0968671i | ||||
\(377\) | 0.507301 | + | 1.56131i | 0.0261273 | + | 0.0804116i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.04508 | − | 3.66547i | −0.259149 | − | 0.188282i | 0.450623 | − | 0.892714i | \(-0.351202\pi\) |
−0.709772 | + | 0.704432i | \(0.751202\pi\) | |||||||
\(380\) | −1.40079 | + | 13.3277i | −0.0718592 | + | 0.683694i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 20.8602 | + | 4.43397i | 1.06730 | + | 0.226862i | ||||
\(383\) | 3.56127 | + | 33.8832i | 0.181972 | + | 1.73135i | 0.580557 | + | 0.814220i | \(0.302835\pi\) |
−0.398585 | + | 0.917132i | \(0.630498\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −29.6970 | − | 5.44302i | −1.51350 | − | 0.277402i | ||||
\(386\) | 15.8636 | 0.807434 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.54508 | + | 29.3768i | 0.484578 | + | 1.49138i | ||||
\(389\) | −21.8229 | + | 4.63860i | −1.10647 | + | 0.235186i | −0.724694 | − | 0.689071i | \(-0.758019\pi\) |
−0.381771 | + | 0.924257i | \(0.624686\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −22.3249 | + | 9.93971i | −1.12902 | + | 0.502673i | ||||
\(392\) | 9.72610 | + | 10.8019i | 0.491242 | + | 0.545580i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.83430 | − | 2.15237i | −0.243548 | − | 0.108435i | ||||
\(395\) | 20.3553 | 1.02418 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.4164 | 1.22542 | 0.612712 | − | 0.790306i | \(-0.290078\pi\) | ||||
0.612712 | + | 0.790306i | \(0.290078\pi\) | |||||||
\(398\) | 0.817481 | + | 0.363966i | 0.0409766 | + | 0.0182440i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.608795 | + | 0.676135i | 0.0304398 | + | 0.0338068i | ||||
\(401\) | −17.3821 | + | 7.73903i | −0.868023 | + | 0.386469i | −0.791915 | − | 0.610631i | \(-0.790916\pi\) |
−0.0761074 | + | 0.997100i | \(0.524249\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.06635 | − | 0.226659i | 0.0531185 | − | 0.0112907i | ||||
\(404\) | −0.253650 | − | 0.780656i | −0.0126196 | − | 0.0388391i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −63.3050 | −3.14177 | ||||||||
\(407\) | 5.27538 | − | 2.52910i | 0.261491 | − | 0.125363i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.528467 | + | 5.02803i | 0.0261310 | + | 0.248620i | 0.999788 | + | 0.0206014i | \(0.00655810\pi\) |
−0.973657 | + | 0.228019i | \(0.926775\pi\) | |||||||
\(410\) | −13.4149 | − | 2.85143i | −0.662515 | − | 0.140822i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.99500 | − | 28.4955i | 0.147553 | − | 1.40387i | ||||
\(413\) | −25.5709 | − | 18.5783i | −1.25826 | − | 0.914180i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.50000 | − | 16.9273i | −0.269984 | − | 0.830926i | ||||
\(416\) | −1.67675 | − | 0.746537i | −0.0822095 | − | 0.0366020i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.4482 | − | 10.3617i | 0.657772 | − | 0.506806i | ||||
\(419\) | 17.6391 | − | 30.5518i | 0.861727 | − | 1.49255i | −0.00853378 | − | 0.999964i | \(-0.502716\pi\) |
0.870261 | − | 0.492591i | \(-0.163950\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.5485 | + | 21.7108i | −0.952736 | + | 1.05812i | 0.0455129 | + | 0.998964i | \(0.485508\pi\) |
−0.998249 | + | 0.0591566i | \(0.981159\pi\) | |||||||
\(422\) | −11.9761 | + | 36.8585i | −0.582985 | + | 1.79424i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.97214 | + | 1.43284i | 0.0957754 | + | 0.0695849i | ||||
\(425\) | −2.29154 | + | 0.487082i | −0.111156 | + | 0.0236269i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.01514 | − | 47.7159i | −0.242700 | − | 2.30913i | ||||
\(428\) | 14.3188 | − | 24.8009i | 0.692125 | − | 1.19879i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.25329 | + | 10.8310i | 0.301560 | + | 0.522318i | ||||
\(431\) | 28.7943 | − | 20.9203i | 1.38697 | − | 1.00770i | 0.390785 | − | 0.920482i | \(-0.372204\pi\) |
0.996190 | − | 0.0872135i | \(-0.0277962\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.819660 | + | 2.52265i | −0.0393904 | + | 0.121231i | −0.968818 | − | 0.247773i | \(-0.920301\pi\) |
0.929428 | + | 0.369004i | \(0.120301\pi\) | |||||||
\(434\) | −4.39423 | + | 41.8083i | −0.210930 | + | 2.00686i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −24.0141 | − | 26.6704i | −1.15007 | − | 1.27728i | ||||
\(437\) | 9.28329 | + | 1.97323i | 0.444080 | + | 0.0943922i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.5000 | + | 21.6506i | 0.596592 | + | 1.03333i | 0.993320 | + | 0.115392i | \(0.0368124\pi\) |
−0.396728 | + | 0.917936i | \(0.629854\pi\) | |||||||
\(440\) | 0.723944 | − | 9.43826i | 0.0345127 | − | 0.449951i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.51722 | − | 1.82887i | 0.119732 | − | 0.0869904i | ||||
\(443\) | 14.6387 | − | 16.2579i | 0.695504 | − | 0.772436i | −0.287149 | − | 0.957886i | \(-0.592708\pi\) |
0.982654 | + | 0.185450i | \(0.0593743\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −17.4906 | + | 7.78734i | −0.829136 | + | 0.369155i | ||||
\(446\) | 6.24356 | − | 2.77981i | 0.295641 | − | 0.131628i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 33.8558 | − | 37.6007i | 1.59954 | − | 1.77647i | ||||
\(449\) | −23.8323 | + | 17.3152i | −1.12472 | + | 0.817155i | −0.984918 | − | 0.173024i | \(-0.944646\pi\) |
−0.139800 | + | 0.990180i | \(0.544646\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.16312 | + | 8.38800i | 0.243122 | + | 0.394975i | ||||
\(452\) | −23.4219 | − | 40.5680i | −1.10167 | − | 1.90816i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −22.9929 | − | 4.88729i | −1.07911 | − | 0.229372i | ||||
\(455\) | 1.43794 | + | 1.59699i | 0.0674115 | + | 0.0748680i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.66792 | + | 34.8979i | −0.171578 | + | 1.63246i | 0.482405 | + | 0.875948i | \(0.339763\pi\) |
−0.653984 | + | 0.756509i | \(0.726903\pi\) | |||||||
\(458\) | −12.2667 | + | 37.7530i | −0.573186 | + | 1.76408i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 18.1353 | − | 13.1760i | 0.845561 | − | 0.614336i | ||||
\(461\) | −0.760951 | − | 1.31801i | −0.0354410 | − | 0.0613857i | 0.847761 | − | 0.530379i | \(-0.177950\pi\) |
−0.883202 | + | 0.468993i | \(0.844617\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.7812 | − | 18.6735i | 0.501043 | − | 0.867831i | −0.498957 | − | 0.866627i | \(-0.666283\pi\) |
0.999999 | − | 0.00120439i | \(-0.000383369\pi\) | |||||||
\(464\) | 1.73148 | + | 16.4739i | 0.0803817 | + | 0.764781i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −48.3702 | + | 10.2814i | −2.24071 | + | 0.476277i | ||||
\(467\) | −17.1318 | − | 12.4470i | −0.792766 | − | 0.575978i | 0.116017 | − | 0.993247i | \(-0.462987\pi\) |
−0.908783 | + | 0.417269i | \(0.862987\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.73607 | − | 11.4984i | 0.172516 | − | 0.530948i | ||||
\(470\) | −10.7445 | + | 11.9329i | −0.495605 | + | 0.550425i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.95492 | − | 8.58216i | 0.228068 | − | 0.395026i | ||||
\(473\) | 2.53394 | − | 8.61726i | 0.116511 | − | 0.396222i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.831171 | + | 0.370061i | 0.0381367 | + | 0.0169796i | ||||
\(476\) | 21.0193 | + | 64.6908i | 0.963419 | + | 2.96510i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −19.8992 | − | 14.4576i | −0.910168 | − | 0.661275i | ||||
\(479\) | 3.85144 | − | 36.6440i | 0.175977 | − | 1.67431i | −0.448898 | − | 0.893583i | \(-0.648183\pi\) |
0.624875 | − | 0.780725i | \(-0.285150\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.407308 | − | 0.0865761i | −0.0185717 | − | 0.00394753i | ||||
\(482\) | −3.14479 | − | 29.9206i | −0.143241 | − | 1.36285i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −22.3084 | + | 18.2122i | −1.01402 | + | 0.827826i | ||||
\(485\) | −25.3542 | −1.15128 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.83688 | + | 17.9641i | 0.264494 | + | 0.814030i | 0.991809 | + | 0.127726i | \(0.0407679\pi\) |
−0.727315 | + | 0.686304i | \(0.759232\pi\) | |||||||
\(488\) | 14.7140 | − | 3.12756i | 0.666072 | − | 0.141578i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −46.1715 | + | 20.5569i | −2.08582 | + | 0.928665i | ||||
\(491\) | −12.9909 | − | 14.4279i | −0.586273 | − | 0.651122i | 0.374901 | − | 0.927065i | \(-0.377677\pi\) |
−0.961174 | + | 0.275943i | \(0.911010\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −38.9650 | − | 17.3483i | −1.75489 | − | 0.781329i | ||||
\(494\) | −1.20837 | −0.0543673 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 11.0000 | 0.493915 | ||||||||
\(497\) | −41.5807 | − | 18.5129i | −1.86515 | − | 0.830418i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.9091 | + | 24.3325i | 0.980786 | + | 1.08927i | 0.995997 | + | 0.0893892i | \(0.0284915\pi\) |
−0.0152105 | + | 0.999884i | \(0.504842\pi\) | |||||||
\(500\) | 27.6615 | − | 12.3157i | 1.23706 | − | 0.550774i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 47.7112 | − | 10.1413i | 2.12945 | − | 0.452630i | ||||
\(503\) | 1.83543 | + | 5.64888i | 0.0818379 | + | 0.251871i | 0.983601 | − | 0.180360i | \(-0.0577264\pi\) |
−0.901763 | + | 0.432231i | \(0.857726\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.673762 | 0.0299820 | ||||||||
\(506\) | −27.9327 | − | 5.11964i | −1.24176 | − | 0.227596i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.756375 | + | 7.19643i | 0.0335587 | + | 0.319290i | ||||
\(509\) | −16.0131 | − | 3.40369i | −0.709769 | − | 0.150866i | −0.161139 | − | 0.986932i | \(-0.551517\pi\) |
−0.548629 | + | 0.836066i | \(0.684850\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.09464 | − | 10.4148i | 0.0484239 | − | 0.460722i | ||||
\(512\) | −20.1016 | − | 14.6047i | −0.888374 | − | 0.645441i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.22542 | − | 25.3153i | −0.362808 | − | 1.11661i | ||||
\(515\) | 21.4855 | + | 9.56596i | 0.946765 | + | 0.421527i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.5276 | − | 0.324779i | 0.506985 | − | 0.0142838i | ||||
\(518\) | 8.02866 | − | 13.9061i | 0.352759 | − | 0.610997i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.450835 | + | 0.500703i | −0.0197704 | + | 0.0219573i | ||||
\(521\) | −8.28232 | + | 25.4903i | −0.362855 | + | 1.11675i | 0.588459 | + | 0.808527i | \(0.299735\pi\) |
−0.951313 | + | 0.308225i | \(0.900265\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 30.2984 | + | 22.0131i | 1.32486 | + | 0.962564i | 0.999858 | + | 0.0168489i | \(0.00536341\pi\) |
0.324997 | + | 0.945715i | \(0.394637\pi\) | |||||||
\(524\) | −6.30600 | + | 1.34038i | −0.275479 | + | 0.0585549i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.44815 | + | 13.7782i | 0.0631423 | + | 0.600758i | ||||
\(527\) | −14.1620 | + | 24.5293i | −0.616907 | + | 1.06851i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.56231 | + | 6.17009i | 0.154883 | + | 0.268265i | ||||
\(530\) | −6.85730 | + | 4.98212i | −0.297862 | + | 0.216409i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.16312 | − | 25.1235i | 0.353916 | − | 1.08924i | ||||
\(533\) | 0.0732820 | − | 0.697232i | 0.00317420 | − | 0.0302005i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.7290 | + | 17.4688i | 0.680023 | + | 0.755242i | ||||
\(536\) | 3.70779 | + | 0.788114i | 0.160152 | + | 0.0340414i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −21.7426 | − | 37.6594i | −0.937392 | − | 1.62361i | ||||
\(539\) | 33.5625 | + | 13.8240i | 1.44564 | + | 0.595442i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −31.2533 | + | 22.7068i | −1.34368 | + | 0.976243i | −0.344384 | + | 0.938829i | \(0.611912\pi\) |
−0.999300 | + | 0.0374146i | \(0.988088\pi\) | |||||||
\(542\) | −1.38841 | + | 1.54199i | −0.0596373 | + | 0.0662340i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 43.5642 | − | 19.3960i | 1.86780 | − | 0.831597i | ||||
\(545\) | 26.9116 | − | 11.9818i | 1.15277 | − | 0.513244i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.4057 | − | 14.8885i | 0.573185 | − | 0.636586i | −0.384939 | − | 0.922942i | \(-0.625777\pi\) |
0.958123 | + | 0.286356i | \(0.0924441\pi\) | |||||||
\(548\) | −0.664066 | + | 0.482472i | −0.0283675 | + | 0.0206102i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.51722 | − | 1.03681i | −0.107335 | − | 0.0442099i | ||||
\(551\) | 8.28232 | + | 14.3454i | 0.352838 | + | 0.611134i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −39.2478 | − | 8.34238i | −1.66899 | − | 0.354754i | ||||
\(554\) | 27.8700 | + | 30.9528i | 1.18408 | + | 1.31506i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.11478 | − | 29.6351i | 0.132096 | − | 1.25681i | ||||
\(557\) | 1.67867 | − | 5.16641i | 0.0711274 | − | 0.218908i | −0.909173 | − | 0.416418i | \(-0.863285\pi\) |
0.980301 | + | 0.197510i | \(0.0632855\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.517221 | + | 0.375783i | −0.0218761 | + | 0.0158939i | ||||
\(560\) | 10.8417 | + | 18.7784i | 0.458145 | + | 0.793531i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 17.7984 | − | 30.8277i | 0.750779 | − | 1.30039i | ||||
\(563\) | −1.63316 | − | 15.5385i | −0.0688294 | − | 0.654868i | −0.973489 | − | 0.228733i | \(-0.926542\pi\) |
0.904660 | − | 0.426135i | \(-0.140125\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 37.6106 | − | 7.99438i | 1.58229 | − | 0.336326i | ||||
\(566\) | 19.0271 | + | 13.8240i | 0.799770 | + | 0.581067i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.40983 | − | 13.5721i | 0.185032 | − | 0.569471i | ||||
\(569\) | 21.2296 | − | 23.5778i | 0.889990 | − | 0.988435i | −0.109994 | − | 0.993932i | \(-0.535083\pi\) |
0.999985 | + | 0.00549764i | \(0.00174996\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.98936 | + | 10.3739i | −0.250647 | + | 0.434133i | −0.963704 | − | 0.266973i | \(-0.913977\pi\) |
0.713057 | + | 0.701106i | \(0.247310\pi\) | |||||||
\(572\) | 2.04897 | − | 0.0577277i | 0.0856719 | − | 0.00241372i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 24.6972 | + | 10.9959i | 1.03084 | + | 0.458960i | ||||
\(575\) | −0.470294 | − | 1.44742i | −0.0196126 | − | 0.0603614i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.09017 | + | 0.792055i | 0.0453844 | + | 0.0329737i | 0.610246 | − | 0.792212i | \(-0.291071\pi\) |
−0.564862 | + | 0.825186i | \(0.691071\pi\) | |||||||
\(578\) | −4.63138 | + | 44.0646i | −0.192640 | + | 1.83285i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 38.2696 | + | 8.13446i | 1.58906 | + | 0.337765i | ||||
\(581\) | 3.66732 | + | 34.8923i | 0.152146 | + | 1.44757i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.98770 | + | 1.09745i | 0.247985 | + | 0.0454519i | ||||
\(584\) | 3.28332 | 0.135865 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.31966 | − | 10.2169i | −0.137134 | − | 0.422055i | ||||
\(587\) | −35.9236 | + | 7.63579i | −1.48272 | + | 0.315163i | −0.876992 | − | 0.480506i | \(-0.840453\pi\) |
−0.605732 | + | 0.795668i | \(0.707120\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.0490 | − | 4.47410i | 0.414062 | − | 0.184352i | ||||
\(590\) | 23.0565 | + | 25.6068i | 0.949221 | + | 1.05422i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.83838 | − | 1.70896i | −0.157756 | − | 0.0702376i | ||||
\(593\) | 27.3094 | 1.12146 | 0.560732 | − | 0.827997i | \(-0.310520\pi\) | ||||
0.560732 | + | 0.827997i | \(0.310520\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −55.8328 | −2.28892 | ||||||||
\(596\) | −11.0292 | − | 4.91051i | −0.451773 | − | 0.201142i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.35250 | + | 1.50211i | 0.0553080 | + | 0.0614258i | ||||
\(599\) | 15.7054 | − | 6.99249i | 0.641705 | − | 0.285705i | −0.0599728 | − | 0.998200i | \(-0.519101\pi\) |
0.701678 | + | 0.712495i | \(0.252435\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.15613 | − | 1.94619i | 0.373486 | − | 0.0793869i | −0.0173444 | − | 0.999850i | \(-0.505521\pi\) |
0.390831 | + | 0.920463i | \(0.372188\pi\) | |||||||
\(602\) | −7.61825 | − | 23.4466i | −0.310497 | − | 0.955611i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −34.6525 | −1.40999 | ||||||||
\(605\) | −8.55892 | − | 22.0347i | −0.347970 | − | 0.895837i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.99140 | + | 28.4613i | 0.121417 | + | 1.15521i | 0.870306 | + | 0.492511i | \(0.163921\pi\) |
−0.748889 | + | 0.662696i | \(0.769412\pi\) | |||||||
\(608\) | −18.1151 | − | 3.85049i | −0.734665 | − | 0.156158i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.46736 | + | 52.0184i | −0.221367 | + | 2.10616i | ||||
\(611\) | −0.664066 | − | 0.482472i | −0.0268652 | − | 0.0195187i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.74265 | + | 23.8294i | 0.312723 | + | 0.962461i | 0.976682 | + | 0.214692i | \(0.0688748\pi\) |
−0.663959 | + | 0.747769i | \(0.731125\pi\) | |||||||
\(614\) | 33.9050 | + | 15.0955i | 1.36829 | + | 0.609204i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.26403 | + | 17.9016i | −0.212094 | + | 0.721276i | ||||
\(617\) | −8.43908 | + | 14.6169i | −0.339745 | + | 0.588455i | −0.984385 | − | 0.176031i | \(-0.943674\pi\) |
0.644640 | + | 0.764486i | \(0.277007\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.60934 | − | 5.11919i | 0.185265 | − | 0.205757i | −0.643357 | − | 0.765566i | \(-0.722459\pi\) |
0.828622 | + | 0.559809i | \(0.189125\pi\) | |||||||
\(620\) | 8.02866 | − | 24.7097i | 0.322439 | − | 0.992365i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 49.9959 | + | 36.3242i | 2.00465 | + | 1.45647i | ||||
\(623\) | 36.9160 | − | 7.84674i | 1.47901 | − | 0.314373i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.39833 | + | 22.8186i | 0.0959332 | + | 0.912743i | ||||
\(626\) | −34.0100 | + | 58.9070i | −1.35931 | + | 2.35440i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 27.0344 | + | 46.8250i | 1.07879 | + | 1.86852i | ||||
\(629\) | 8.75261 | − | 6.35914i | 0.348989 | − | 0.253556i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.37132 | + | 16.5312i | −0.213829 | + | 0.658098i | 0.785406 | + | 0.618981i | \(0.212454\pi\) |
−0.999235 | + | 0.0391166i | \(0.987546\pi\) | |||||||
\(632\) | 1.31499 | − | 12.5113i | 0.0523076 | − | 0.497674i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.450835 | − | 0.500703i | −0.0179049 | − | 0.0198854i | ||||
\(635\) | −5.80979 | − | 1.23491i | −0.230554 | − | 0.0490059i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.29180 | − | 2.23746i | −0.0511828 | − | 0.0886513i | ||||
\(638\) | −25.9813 | − | 42.2092i | −1.02861 | − | 1.67108i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −17.5902 | + | 12.7800i | −0.695313 | + | 0.505174i | ||||
\(641\) | −14.2992 | + | 15.8809i | −0.564785 | + | 0.627258i | −0.956115 | − | 0.292993i | \(-0.905349\pi\) |
0.391329 | + | 0.920251i | \(0.372015\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −37.6007 | + | 16.7409i | −1.48283 | + | 0.660196i | −0.979047 | − | 0.203636i | \(-0.934724\pi\) |
−0.503779 | + | 0.863833i | \(0.668057\pi\) | |||||||
\(644\) | −40.3674 | + | 17.9727i | −1.59070 | + | 0.708224i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.0074 | − | 23.3311i | 0.826527 | − | 0.917951i | ||||
\(647\) | 9.45368 | − | 6.86850i | 0.371663 | − | 0.270029i | −0.386237 | − | 0.922399i | \(-0.626225\pi\) |
0.757900 | + | 0.652371i | \(0.226225\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.89261 | − | 24.6745i | 0.0742914 | − | 0.968558i | ||||
\(650\) | 0.0968859 | + | 0.167811i | 0.00380018 | + | 0.00658210i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.53897 | − | 0.752232i | −0.138597 | − | 0.0294597i | ||||
\(653\) | −22.8773 | − | 25.4078i | −0.895258 | − | 0.994285i | 0.104742 | − | 0.994499i | \(-0.466598\pi\) |
−1.00000 | 0.000214284i | \(0.999932\pi\) | ||||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.553143 | − | 5.26281i | 0.0216131 | − | 0.205635i | ||||
\(656\) | 2.18597 | − | 6.72772i | 0.0853477 | − | 0.262673i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 25.6074 | − | 18.6049i | 0.998280 | − | 0.725293i | ||||
\(659\) | 16.8782 | + | 29.2338i | 0.657480 | + | 1.13879i | 0.981266 | + | 0.192658i | \(0.0617108\pi\) |
−0.323786 | + | 0.946130i | \(0.604956\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.21885 | + | 2.11111i | −0.0474077 | + | 0.0821125i | −0.888755 | − | 0.458382i | \(-0.848429\pi\) |
0.841348 | + | 0.540494i | \(0.181763\pi\) | |||||||
\(662\) | −1.63794 | − | 15.5839i | −0.0636603 | − | 0.605687i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.7596 | + | 2.28703i | −0.417554 | + | 0.0887539i | ||||
\(665\) | 17.5422 | + | 12.7452i | 0.680258 | + | 0.494237i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.56231 | − | 26.3521i | 0.331534 | − | 1.02036i | ||||
\(668\) | −18.8228 | + | 20.9049i | −0.728277 | + | 0.808833i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.59017 | + | 11.4145i | −0.254600 | + | 0.440981i | ||||
\(671\) | 29.7567 | − | 22.9272i | 1.14875 | − | 0.885095i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.6595 | + | 7.41728i | 0.642176 | + | 0.285915i | 0.701874 | − | 0.712301i | \(-0.252347\pi\) |
−0.0596980 | + | 0.998216i | \(0.519014\pi\) | |||||||
\(674\) | −17.6990 | − | 54.4719i | −0.681740 | − | 2.09818i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 27.4164 | + | 19.9192i | 1.05448 | + | 0.766123i | ||||
\(677\) | 0.898510 | − | 8.54876i | 0.0345326 | − | 0.328555i | −0.963594 | − | 0.267370i | \(-0.913845\pi\) |
0.998126 | − | 0.0611851i | \(-0.0194880\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 48.8866 | + | 10.3912i | 1.87609 | + | 0.398776i | ||||
\(680\) | −1.82979 | − | 17.4093i | −0.0701694 | − | 0.667617i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −29.6796 | + | 14.2289i | −1.13649 | + | 0.544852i | ||||
\(683\) | −0.940588 | −0.0359906 | −0.0179953 | − | 0.999838i | \(-0.505728\pi\) | ||||
−0.0179953 | + | 0.999838i | \(0.505728\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.208204 | − | 0.640786i | −0.00795506 | − | 0.0244832i | ||||
\(686\) | 35.1207 | − | 7.46513i | 1.34091 | − | 0.285020i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.89314 | + | 2.62380i | −0.224674 | + | 0.100031i | ||||
\(689\) | −0.289925 | − | 0.321995i | −0.0110453 | − | 0.0122670i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.5630 | + | 13.1623i | 1.12463 | + | 0.500717i | 0.882869 | − | 0.469620i | \(-0.155609\pi\) |
0.241759 | + | 0.970336i | \(0.422276\pi\) | |||||||
\(692\) | −35.0845 | −1.33371 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 54.0689 | 2.05243 | ||||||||
\(695\) | 22.3448 | + | 9.94854i | 0.847586 | + | 0.377369i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.1881 | + | 13.5362i | 0.461656 | + | 0.512721i | ||||
\(698\) | 18.0226 | − | 8.02418i | 0.682166 | − | 0.303720i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.14350 | + | 0.880728i | −0.156610 | + | 0.0332884i | ||||
\(701\) | 7.23071 | + | 22.2538i | 0.273100 | + | 0.840515i | 0.989716 | + | 0.143047i | \(0.0456901\pi\) |
−0.716616 | + | 0.697468i | \(0.754310\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.20163 | −0.158467 | ||||||||
\(704\) | 38.9656 | + | 7.14181i | 1.46857 | + | 0.269167i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.58260 | + | 72.1436i | 0.285375 | + | 2.71516i | ||||
\(707\) | −1.29911 | − | 0.276134i | −0.0488580 | − | 0.0103851i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.58900 | − | 15.1184i | 0.0596762 | − | 0.567782i | −0.923304 | − | 0.384070i | \(-0.874522\pi\) |
0.982980 | − | 0.183712i | \(-0.0588112\pi\) | |||||||
\(710\) | 40.1433 | + | 29.1658i | 1.50655 | + | 1.09457i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.65654 | + | 11.2537i | 0.137035 | + | 0.421749i | ||||
\(713\) | −16.8093 | − | 7.48398i | −0.629513 | − | 0.280277i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.474658 | + | 1.61419i | −0.0177512 | + | 0.0603671i | ||||
\(716\) | −2.55938 | + | 4.43297i | −0.0956484 | + | 0.165668i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.91786 | − | 3.24062i | 0.108894 | − | 0.120939i | ||||
\(719\) | −4.00726 | + | 12.3331i | −0.149446 | + | 0.459947i | −0.997556 | − | 0.0698732i | \(-0.977741\pi\) |
0.848110 | + | 0.529820i | \(0.177741\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −37.5066 | − | 27.2501i | −1.39682 | − | 1.01485i | ||||
\(722\) | 28.0118 | − | 5.95409i | 1.04249 | − | 0.221588i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.34851 | − | 31.8590i | −0.124446 | − | 1.18403i | ||||
\(725\) | 1.32813 | − | 2.30039i | 0.0493255 | − | 0.0854344i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.78115 | − | 16.9415i | −0.362763 | − | 0.628324i | 0.625652 | − | 0.780103i | \(-0.284833\pi\) |
−0.988414 | + | 0.151779i | \(0.951500\pi\) | |||||||
\(728\) | 1.07448 | − | 0.780656i | 0.0398229 | − | 0.0289330i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.52786 | + | 10.8576i | −0.130572 | + | 0.401860i | ||||
\(731\) | 1.73626 | − | 16.5194i | 0.0642178 | − | 0.610991i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.80442 | − | 10.8889i | −0.362135 | − | 0.402191i | 0.534352 | − | 0.845262i | \(-0.320556\pi\) |
−0.896487 | + | 0.443071i | \(0.853889\pi\) | |||||||
\(734\) | −48.4184 | − | 10.2917i | −1.78716 | − | 0.379872i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.4894 | + | 26.8284i | 0.570945 | + | 0.988906i | ||||
\(737\) | 9.20003 | − | 2.22807i | 0.338888 | − | 0.0820721i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.7533 | + | 10.7189i | −0.542709 | + | 0.394301i | −0.825090 | − | 0.565001i | \(-0.808876\pi\) |
0.282381 | + | 0.959302i | \(0.408876\pi\) | |||||||
\(740\) | −6.64044 | + | 7.37495i | −0.244107 | + | 0.271109i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.2637 | − | 6.79584i | 0.560348 | − | 0.249483i | ||||
\(743\) | 16.5647 | − | 7.37506i | 0.607698 | − | 0.270565i | −0.0797305 | − | 0.996816i | \(-0.525406\pi\) |
0.687429 | + | 0.726252i | \(0.258739\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.63097 | − | 7.36444i | 0.242940 | − | 0.269812i | ||||
\(746\) | 25.0636 | − | 18.2098i | 0.917643 | − | 0.666707i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −34.5066 | + | 40.5649i | −1.26169 | + | 1.48320i | ||||
\(749\) | −23.1683 | − | 40.1286i | −0.846550 | − | 1.46627i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.47366 | + | 0.313235i | 0.0537745 | + | 0.0114301i | 0.234720 | − | 0.972063i | \(-0.424583\pi\) |
−0.180946 | + | 0.983493i | \(0.557916\pi\) | |||||||
\(752\) | −5.54195 | − | 6.15496i | −0.202094 | − | 0.224448i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.368762 | + | 3.50854i | −0.0134295 | + | 0.127773i | ||||
\(755\) | 8.78962 | − | 27.0517i | 0.319887 | − | 0.984511i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 33.0795 | − | 24.0337i | 1.20230 | − | 0.873519i | 0.207787 | − | 0.978174i | \(-0.433374\pi\) |
0.994509 | + | 0.104655i | \(0.0333738\pi\) | |||||||
\(758\) | −6.70053 | − | 11.6057i | −0.243374 | − | 0.421537i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.39919 | + | 5.88756i | −0.123301 | + | 0.213564i | ||||
\(761\) | −3.49572 | − | 33.2596i | −0.126720 | − | 1.20566i | −0.854353 | − | 0.519693i | \(-0.826046\pi\) |
0.727633 | − | 0.685966i | \(-0.240620\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −56.7999 | + | 12.0732i | −2.05630 | + | 0.437079i | ||||
\(764\) | 21.0193 | + | 15.2714i | 0.760452 | + | 0.552501i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.6246 | + | 69.6314i | −0.817460 | + | 2.51588i | ||||
\(767\) | −1.17862 | + | 1.30899i | −0.0425574 | + | 0.0472648i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.1353 | − | 19.2868i | 0.401548 | − | 0.695501i | −0.592365 | − | 0.805669i | \(-0.701806\pi\) |
0.993913 | + | 0.110169i | \(0.0351391\pi\) | |||||||
\(770\) | −53.5429 | − | 36.6426i | −1.92955 | − | 1.32051i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 17.6554 | + | 7.86069i | 0.635432 | + | 0.282912i | ||||
\(773\) | −10.4084 | − | 32.0338i | −0.374364 | − | 1.15217i | −0.943907 | − | 0.330213i | \(-0.892879\pi\) |
0.569542 | − | 0.821962i | \(-0.307121\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.42705 | − | 1.03681i | −0.0512612 | − | 0.0372434i | ||||
\(776\) | −1.63794 | + | 15.5839i | −0.0587986 | + | 0.559431i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −46.8966 | − | 9.96817i | −1.68132 | − | 0.357376i | ||||
\(779\) | −0.739428 | − | 7.03519i | −0.0264928 | − | 0.252062i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.72167 | − | 35.3223i | −0.168955 | − | 1.26393i | ||||
\(782\) | −52.5157 | −1.87796 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.05573 | − | 24.7930i | −0.287705 | − | 0.885464i | ||||
\(785\) | −43.4115 | + | 9.22741i | −1.54942 | + | 0.329340i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 25.3756 | − | 11.2980i | 0.904544 | − | 0.402729i | 0.0988781 | − | 0.995100i | \(-0.468475\pi\) |
0.805665 | + | 0.592371i | \(0.201808\pi\) | |||||||
\(788\) | −4.31381 | − | 4.79097i | −0.153673 | − | 0.170671i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 39.9609 | + | 17.7917i | 1.42174 | + | 0.633002i | ||||
\(791\) | −75.7950 | −2.69496 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.67376 | −0.0949481 | ||||||||
\(794\) | 47.9336 | + | 21.3414i | 1.70110 | + | 0.757379i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.729466 | + | 0.810154i | 0.0258552 | + | 0.0287152i | ||||
\(797\) | 3.92635 | − | 1.74812i | 0.139078 | − | 0.0619217i | −0.336017 | − | 0.941856i | \(-0.609080\pi\) |
0.475096 | + | 0.879934i | \(0.342413\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 20.8602 | − | 4.43397i | 0.737981 | − | 0.156863i | ||||
\(800\) | 0.917716 | + | 2.82444i | 0.0324462 | + | 0.0998590i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −40.8885 | −1.44382 | ||||||||
\(803\) | 7.39340 | − | 3.54452i | 0.260908 | − | 0.125083i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.79130 | − | 36.0718i | −0.133626 | − | 1.27136i | ||||
\(806\) | 2.29154 | + | 0.487082i | 0.0807160 | + | 0.0171567i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.0435265 | − | 0.414127i | 0.00153126 | − | 0.0145689i | ||||
\(809\) | 5.72294 | + | 4.15796i | 0.201208 | + | 0.146186i | 0.683827 | − | 0.729644i | \(-0.260314\pi\) |
−0.482619 | + | 0.875830i | \(0.660314\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.6631 | − | 42.0508i | −0.479777 | − | 1.47660i | −0.839405 | − | 0.543506i | \(-0.817096\pi\) |
0.359628 | − | 0.933096i | \(-0.382904\pi\) | |||||||
\(812\) | −70.4554 | − | 31.3688i | −2.47250 | − | 1.10083i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.5671 | − | 0.354065i | 0.440476 | − | 0.0124100i | ||||
\(815\) | 1.48490 | − | 2.57191i | 0.0520136 | − | 0.0900902i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.31646 | + | 4.79392i | −0.151014 | + | 0.167718i | ||||
\(818\) | −3.35733 | + | 10.3328i | −0.117386 | + | 0.361278i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −13.5172 | − | 9.82084i | −0.472042 | − | 0.342958i | ||||
\(821\) | −38.9008 | + | 8.26863i | −1.35765 | + | 0.288577i | −0.828518 | − | 0.559963i | \(-0.810815\pi\) |
−0.529131 | + | 0.848540i | \(0.677482\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.99769 | − | 19.0068i | −0.0696351 | − | 0.662534i | −0.972547 | − | 0.232708i | \(-0.925241\pi\) |
0.902912 | − | 0.429826i | \(-0.141425\pi\) | |||||||
\(824\) | 7.26771 | − | 12.5880i | 0.253183 | − | 0.438525i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −33.9615 | − | 58.8230i | −1.18167 | − | 2.04672i | ||||
\(827\) | −9.41667 | + | 6.84161i | −0.327450 | + | 0.237906i | −0.739348 | − | 0.673324i | \(-0.764866\pi\) |
0.411898 | + | 0.911230i | \(0.364866\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.19098 | − | 19.0539i | 0.215022 | − | 0.661769i | −0.784130 | − | 0.620596i | \(-0.786891\pi\) |
0.999152 | − | 0.0411726i | \(-0.0131094\pi\) | |||||||
\(830\) | 3.99801 | − | 38.0385i | 0.138773 | − | 1.32034i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.88672 | − | 2.09542i | −0.0654103 | − | 0.0726455i | ||||
\(833\) | 65.6583 | + | 13.9561i | 2.27492 | + | 0.483550i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.5451 | − | 19.9967i | −0.399534 | − | 0.692013i | ||||
\(836\) | 20.1016 | − | 4.86822i | 0.695228 | − | 0.168371i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 61.3328 | − | 44.5609i | 2.11871 | − | 1.53933i | ||||
\(839\) | −9.35604 | + | 10.3909i | −0.323006 | + | 0.358735i | −0.882677 | − | 0.469980i | \(-0.844261\pi\) |
0.559671 | + | 0.828715i | \(0.310928\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.6869 | − | 7.87470i | 0.609892 | − | 0.271541i | ||||
\(842\) | −57.3537 | + | 25.5355i | −1.97654 | + | 0.880012i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −31.5929 | + | 35.0874i | −1.08747 | + | 1.20776i | ||||
\(845\) | −22.5042 | + | 16.3503i | −0.774168 | + | 0.562466i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.47214 | + | 45.9937i | 0.256746 | + | 1.58036i | ||||
\(848\) | −2.18597 | − | 3.78621i | −0.0750665 | − | 0.130019i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.92443 | − | 1.04672i | −0.168906 | − | 0.0359022i | ||||
\(851\) | 4.70278 | + | 5.22297i | 0.161209 | + | 0.179041i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.123379 | − | 1.17387i | 0.00422442 | − | 0.0401927i | −0.992207 | − | 0.124603i | \(-0.960234\pi\) |
0.996431 | + | 0.0844108i | \(0.0269008\pi\) | |||||||
\(854\) | 31.8610 | − | 98.0581i | 1.09026 | − | 3.35548i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.7533 | − | 8.53926i | 0.401719 | − | 0.291866i | ||||
\(857\) | −6.91718 | − | 11.9809i | −0.236286 | − | 0.409260i | 0.723359 | − | 0.690472i | \(-0.242597\pi\) |
−0.959646 | + | 0.281212i | \(0.909264\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.2082 | + | 36.7337i | −0.723615 | + | 1.25334i | 0.235927 | + | 0.971771i | \(0.424187\pi\) |
−0.959542 | + | 0.281566i | \(0.909146\pi\) | |||||||
\(860\) | 1.59265 | + | 15.1530i | 0.0543088 | + | 0.516714i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 74.8139 | − | 15.9022i | 2.54817 | − | 0.541631i | ||||
\(863\) | 27.8167 | + | 20.2100i | 0.946893 | + | 0.687958i | 0.950070 | − | 0.312037i | \(-0.101011\pi\) |
−0.00317717 | + | 0.999995i | \(0.501011\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.89919 | − | 27.3889i | 0.302581 | − | 0.931250i | ||||
\(866\) | −3.81409 | + | 4.23598i | −0.129608 | + | 0.143944i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −25.6074 | + | 44.3533i | −0.869171 | + | 1.50545i | ||||
\(869\) | −10.5455 | − | 29.5927i | −0.357732 | − | 1.00386i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.615512 | − | 0.274044i | −0.0208558 | − | 0.00928562i | ||||
\(872\) | −5.62605 | − | 17.3152i | −0.190522 | − | 0.586367i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 16.5000 | + | 11.9880i | 0.558121 | + | 0.405499i | ||||
\(875\) | 5.12114 | − | 48.7244i | 0.173126 | − | 1.64719i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.2214 | − | 2.38519i | −0.378921 | − | 0.0805422i | 0.0145137 | − | 0.999895i | \(-0.495380\pi\) |
−0.393435 | + | 0.919352i | \(0.628713\pi\) | |||||||
\(878\) | 5.61569 | + | 53.4297i | 0.189520 | + | 1.80317i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.07106 | + | 14.9357i | −0.272075 | + | 0.503483i | ||||
\(881\) | 34.3376 | 1.15686 | 0.578432 | − | 0.815730i | \(-0.303665\pi\) | ||||
0.578432 | + | 0.815730i | \(0.303665\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.36068 | − | 13.4208i | −0.146749 | − | 0.451646i | 0.850483 | − | 0.526002i | \(-0.176310\pi\) |
−0.997232 | + | 0.0743567i | \(0.976310\pi\) | |||||||
\(884\) | 3.70779 | − | 0.788114i | 0.124706 | − | 0.0265072i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 42.9487 | − | 19.1220i | 1.44289 | − | 0.642415i | ||||
\(887\) | −37.8554 | − | 42.0427i | −1.27106 | − | 1.41166i | −0.868062 | − | 0.496456i | \(-0.834634\pi\) |
−0.402999 | − | 0.915200i | \(-0.632032\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.6960 | + | 4.76216i | 0.358732 | + | 0.159718i | ||||
\(890\) | −41.1438 | −1.37914 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.32624 | 0.278783 | ||||||||
\(893\) | −7.56627 | − | 3.36872i | −0.253196 | − | 0.112730i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.81144 | − | 3.12242i | −0.0939760 | − | 0.104371i | ||||
\(896\) | 39.1541 | − | 17.4325i | 1.30805 | − | 0.582379i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −61.9216 | + | 13.1618i | −2.06635 | + | 0.439216i | ||||
\(899\) | −9.92398 | − | 30.5429i | −0.330983 | − | 1.01866i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.2574 | 0.375037 | ||||||||
\(902\) | 2.80448 | + | 20.9800i | 0.0933789 | + | 0.698557i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.48401 | − | 23.6338i | −0.0826169 | − | 0.786047i | ||||
\(905\) | 25.7202 | + | 5.46700i | 0.854969 | + | 0.181729i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.74915 | − | 35.6708i | 0.124488 | − | 1.18443i | −0.736728 | − | 0.676190i | \(-0.763630\pi\) |
0.861216 | − | 0.508239i | \(-0.169703\pi\) | |||||||
\(908\) | −23.1683 | − | 16.8327i | −0.768866 | − | 0.558614i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.42705 | + | 4.39201i | 0.0473063 | + | 0.145594i | ||||
\(911\) | 8.71196 | + | 3.87882i | 0.288640 | + | 0.128511i | 0.545949 | − | 0.837818i | \(-0.316169\pi\) |
−0.257309 | + | 0.966329i | \(0.582836\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −21.7596 | + | 16.7655i | −0.720138 | + | 0.554858i | ||||
\(914\) | −37.7037 | + | 65.3047i | −1.24713 | + | 2.16009i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −32.3596 | + | 35.9390i | −1.06919 | + | 1.18746i | ||||
\(917\) | −3.22344 | + | 9.92073i | −0.106447 | + | 0.327611i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 20.3713 | + | 14.8006i | 0.671988 | + | 0.488228i | 0.870690 | − | 0.491832i | \(-0.163673\pi\) |
−0.198702 | + | 0.980060i | \(0.563673\pi\) | |||||||
\(920\) | 11.1234 | − | 2.36434i | 0.366726 | − | 0.0779501i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.341861 | − | 3.25259i | −0.0112586 | − | 0.107118i | ||||
\(923\) | −1.26825 | + | 2.19668i | −0.0417450 | + | 0.0723045i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.336881 | + | 0.583495i | 0.0110766 | + | 0.0191852i | ||||
\(926\) | 37.4871 | − | 27.2359i | 1.23190 | − | 0.895029i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −16.7082 | + | 51.4226i | −0.548474 | + | 1.68803i | ||||
\(929\) | −4.39423 | + | 41.8083i | −0.144170 | + | 1.37169i | 0.648118 | + | 0.761540i | \(0.275556\pi\) |
−0.792288 | + | 0.610147i | \(0.791110\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −17.4435 | − | 19.3730i | −0.571687 | − | 0.634923i | ||||
\(932\) | −58.9284 | − | 12.5256i | −1.93026 | − | 0.410290i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −22.7533 | − | 39.4099i | −0.744510 | − | 1.28953i | ||||
\(935\) | −22.9146 | − | 37.2271i | −0.749388 | − | 1.21746i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.75329 | + | 6.35964i | −0.285957 | + | 0.207760i | −0.721512 | − | 0.692402i | \(-0.756552\pi\) |
0.435554 | + | 0.900162i | \(0.356552\pi\) | |||||||
\(938\) | 17.3849 | − | 19.3079i | 0.567637 | − | 0.630424i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −17.8711 | + | 7.95671i | −0.582890 | + | 0.259519i | ||||
\(941\) | −8.38375 | + | 3.73269i | −0.273303 | + | 0.121682i | −0.538812 | − | 0.842426i | \(-0.681127\pi\) |
0.265509 | + | 0.964108i | \(0.414460\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.91770 | + | 8.79350i | −0.257836 | + | 0.286356i | ||||
\(944\) | −14.3787 | + | 10.4467i | −0.467986 | + | 0.340011i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.5066 | − | 14.7024i | 0.406624 | − | 0.478015i | ||||
\(947\) | 11.1922 | + | 19.3855i | 0.363699 | + | 0.629944i | 0.988566 | − | 0.150786i | \(-0.0481805\pi\) |
−0.624868 | + | 0.780731i | \(0.714847\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.570839 | − | 0.121336i | −0.0185302 | − | 0.00393872i | ||||
\(950\) | 1.30828 | + | 1.45299i | 0.0424461 | + | 0.0471412i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.60692 | + | 34.3175i | −0.116901 | + | 1.11224i | ||||
\(953\) | 5.19277 | − | 15.9817i | 0.168210 | − | 0.517698i | −0.831048 | − | 0.556200i | \(-0.812259\pi\) |
0.999259 | + | 0.0385025i | \(0.0122587\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.2533 | + | 12.5352i | −0.558303 | + | 0.405631i | ||||
\(956\) | −14.9828 | − | 25.9511i | −0.484580 | − | 0.839317i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 39.5902 | − | 68.5722i | 1.27910 | − | 2.21547i | ||||
\(959\) | 0.138827 | + | 1.32086i | 0.00448297 | + | 0.0426526i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.46237 | − | 2.01129i | 0.305238 | − | 0.0648803i | ||||
\(962\) | −0.723944 | − | 0.525976i | −0.0233409 | − | 0.0169582i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 11.3262 | − | 34.8586i | 0.364794 | − | 1.12272i | ||||
\(965\) | −10.6148 | + | 11.7889i | −0.341702 | + | 0.379499i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.84346 | − | 15.3173i | 0.284386 | − | 0.492572i | −0.688074 | − | 0.725641i | \(-0.741543\pi\) |
0.972460 | + | 0.233069i | \(0.0748768\pi\) | |||||||
\(968\) | −14.0965 | + | 3.83724i | −0.453079 | + | 0.123334i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −49.7748 | − | 22.1612i | −1.59817 | − | 0.711552i | ||||
\(971\) | 0.313529 | + | 0.964944i | 0.0100616 | + | 0.0309665i | 0.955961 | − | 0.293493i | \(-0.0948177\pi\) |
−0.945900 | + | 0.324459i | \(0.894818\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −39.0066 | − | 28.3399i | −1.25049 | − | 0.908537i | ||||
\(974\) | −4.24289 | + | 40.3684i | −0.135951 | + | 1.29349i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −26.3892 | − | 5.60919i | −0.844697 | − | 0.179546i | ||||
\(977\) | 0.350937 | + | 3.33894i | 0.0112275 | + | 0.106822i | 0.998700 | − | 0.0509665i | \(-0.0162302\pi\) |
−0.987473 | + | 0.157789i | \(0.949564\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.3828 | + | 21.3937i | 0.651436 | + | 0.683745i | ||||
\(980\) | −61.5731 | −1.96688 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −12.8926 | − | 39.6794i | −0.411420 | − | 1.26622i | ||||
\(983\) | 49.6004 | − | 10.5429i | 1.58201 | − | 0.336266i | 0.668698 | − | 0.743534i | \(-0.266852\pi\) |
0.913309 | + | 0.407268i | \(0.133519\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.83430 | − | 2.15237i | 0.154033 | − | 0.0685801i | ||||
\(986\) | −61.3315 | − | 68.1155i | −1.95319 | − | 2.16924i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.34486 | − | 0.598772i | −0.0427858 | − | 0.0190495i | ||||
\(989\) | 10.7905 | 0.343119 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −58.2705 | −1.85102 | −0.925512 | − | 0.378719i | \(-0.876365\pi\) | ||||
−0.925512 | + | 0.378719i | \(0.876365\pi\) | |||||||
\(992\) | 32.8011 | + | 14.6040i | 1.04144 | + | 0.463677i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −65.4487 | − | 72.6881i | −2.07591 | − | 2.30553i | ||||
\(995\) | −0.817481 | + | 0.363966i | −0.0259159 | + | 0.0115385i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −37.8960 | + | 8.05505i | −1.20018 | + | 0.255106i | −0.764277 | − | 0.644888i | \(-0.776904\pi\) |
−0.435902 | + | 0.899994i | \(0.643571\pi\) | |||||||
\(998\) | 21.7433 | + | 66.9189i | 0.688271 | + | 2.11828i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.n.e.190.2 | 16 | ||
3.2 | odd | 2 | inner | 891.2.n.e.190.1 | 16 | ||
9.2 | odd | 6 | inner | 891.2.n.e.784.2 | 16 | ||
9.4 | even | 3 | 99.2.f.c.91.1 | yes | 8 | ||
9.5 | odd | 6 | 99.2.f.c.91.2 | yes | 8 | ||
9.7 | even | 3 | inner | 891.2.n.e.784.1 | 16 | ||
11.4 | even | 5 | inner | 891.2.n.e.433.1 | 16 | ||
33.26 | odd | 10 | inner | 891.2.n.e.433.2 | 16 | ||
99.4 | even | 15 | 99.2.f.c.37.1 | ✓ | 8 | ||
99.13 | odd | 30 | 1089.2.a.w.1.1 | 4 | |||
99.31 | even | 15 | 1089.2.a.v.1.4 | 4 | |||
99.59 | odd | 30 | 99.2.f.c.37.2 | yes | 8 | ||
99.68 | even | 30 | 1089.2.a.w.1.4 | 4 | |||
99.70 | even | 15 | inner | 891.2.n.e.136.2 | 16 | ||
99.86 | odd | 30 | 1089.2.a.v.1.1 | 4 | |||
99.92 | odd | 30 | inner | 891.2.n.e.136.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.f.c.37.1 | ✓ | 8 | 99.4 | even | 15 | ||
99.2.f.c.37.2 | yes | 8 | 99.59 | odd | 30 | ||
99.2.f.c.91.1 | yes | 8 | 9.4 | even | 3 | ||
99.2.f.c.91.2 | yes | 8 | 9.5 | odd | 6 | ||
891.2.n.e.136.1 | 16 | 99.92 | odd | 30 | inner | ||
891.2.n.e.136.2 | 16 | 99.70 | even | 15 | inner | ||
891.2.n.e.190.1 | 16 | 3.2 | odd | 2 | inner | ||
891.2.n.e.190.2 | 16 | 1.1 | even | 1 | trivial | ||
891.2.n.e.433.1 | 16 | 11.4 | even | 5 | inner | ||
891.2.n.e.433.2 | 16 | 33.26 | odd | 10 | inner | ||
891.2.n.e.784.1 | 16 | 9.7 | even | 3 | inner | ||
891.2.n.e.784.2 | 16 | 9.2 | odd | 6 | inner | ||
1089.2.a.v.1.1 | 4 | 99.86 | odd | 30 | |||
1089.2.a.v.1.4 | 4 | 99.31 | even | 15 | |||
1089.2.a.w.1.1 | 4 | 99.13 | odd | 30 | |||
1089.2.a.w.1.4 | 4 | 99.68 | even | 30 |